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Exercises: Solve the exponential Equation rounding decimal answers to the thousandths place.

3x=12

Mar 28, 2018

#1
+1

3^x=12      Take the log of both sides

x = Log(12) / Log(3)

x = 2.262

Mar 28, 2018
#2
+25988
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Exercises: Solve the exponential Equation rounding decimal answers to the thousandths place.

3x=12

$$\begin{array}{|rcll|} \hline 3^x &=& 12 \quad & | \quad \log() \text{ both sides} \\ \log{(3^x)} &=& \log(12) \\ x\log{(3)} &=& \log(12) \quad & | \quad : \log{(3)}\\\\ x &=& \dfrac{\log(12)} {\log{(3)}} \\\\ x &=& \dfrac{1.07918124605} {0.47712125472} \\\\ x &=& 2.26185950714 \\\\ \mathbf{x} &\mathbf{\approx}& \mathbf{2.262} \\ \hline \end{array}$$

Mar 28, 2018
#3
+1466
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thanks

Mar 28, 2018